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Simora [160]
3 years ago
11

Use the distributive property to create an equivalent expression. 4(9j + 1 + 6j)

Mathematics
2 answers:
Arturiano [62]3 years ago
8 0

Answer:

60j + 4

Step-by-step explanation:

4(9j + 1 + 6j)

36j + 4 + 24j

60j + 4

Mariana [72]3 years ago
4 0

Answer:12

Step-by-step explanation:

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The width of a golden rectangle is 15 feet. Find the perimeter of the rectangle to the nearest foot
Anika [276]

In a golden rectangle, the sides of the rectangle are as per the golden ratio. The perimeter of the golden rectangle with a width of 15 feet is 79 feet.

<h3>What is a golden rectangle?</h3>

In a golden rectangle, the sides of the rectangle are as per the golden ratio. The rectangle is given the name rectangle because of the fact that the ratio is the golden number 1.618.

In a golden rectangle, the sides of the rectangle are as per the golden ratio. Since the width of the rectangle is 15 feet, therefore, the length of the rectangle will be 1.618 times the width,

Length of the rectangle = 1.618 × 15 feet = 24.27 feet

Now, the perimeter of the rectangle can be written as,

\rm \text{Perimeter of the rectangle} = 2(Length+ Width) \\\\\text{Perimeter of the rectangle} =  2(24.27+15)\\\\\text{Perimeter of the rectangle} = 78.54 \approx 79\ feet

Hence, the perimeter of the golden rectangle with a width of 15 feet is 79 feet.

Learn more about Golden Rectangle:

brainly.com/question/3811402

#SPJ1

7 0
2 years ago
Z varies jointly with x, and y, and z=7 when x= 2, y= 2
fomenos

Answer:

56

Step-by-step explanation:

Complete question:

Z varies jointly with x and y , x=2 and y=2, z=7. Find z when x=4 and y=8 using joint variation . (I need the problem worked out step by step)

If z varies jointly with x, and y, this is expressed as;

z = kxy

If z=7 when x= 2, y= 2

7  = k(2)(2)

7 = 4k

k = 7/4

To get z when x= 4 and y = 8

z = kxy

z =7/4 (4)(8)

z = 7*8

z = 56

Hence the value of z is 56

7 0
3 years ago
Find the lateral area of a cone with a radius of 7 ft. and a slant height of 13 ft use 3.14 for
lukranit [14]
To find the lateral surface area, use the following formula
la = π × r × s

Given:
π = 3.14
r = 7 ft
s = 13 ft

Solution
Input the numbers to the formula
la = π × r × s
la = 3.14 × 7 × 13
la = 285.74

The lateral surface area of the cone is 285.74 square feet
3 0
3 years ago
Find the circumference and the area of a circle with diameter equal to 8.6 inches. Use 3.14 for pi
mariarad [96]

Answer: Circumference of circle = 27.004 inches

              Area of circle = 58.0586 inches²

Step-by-step explanation:

Diameter of circle = 8.6 inches

Pi (\pi) = 3.14

Circumference of circle (With diameter) = \pi \\d (\pi×diameter)

                                                                = 3.14 × 8.6

                                                                = 27.004 inches

Area of circle (With diameter) = \pid^{2}/4

                                                 = 3.14 × 8.6 × 8.6 / 4

                                                 = 3.14 × 73.96 / 4

                                                 = 58.0586 inches²

5 0
3 years ago
Lacy is on a school field trip and wants to purchase a souvenir for her parents. The item she wants is priced at $20. The total
inna [77]

Answer:

7.25%

Step-by-step explanation:

The item she wants is priced at $20.

The total cost of the souvenir with tax is $21.45.

find:

What tax rate does Lacy pay for the souvenir?

$21.45  = tax ($20) + $20

tax = <u>( $21.45 - $20 )</u>

                 $20

tax = 0.725 x 100 = 7.25%

therefore, the tax of the souvenir is 7.25%

6 0
3 years ago
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